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Hayato Saigo

  1. The space of tempered distributions as a k-space.

    Thu, 09/09/2010 - 15:01 — SomNambul
    Authors: Hayato Saigo, Kei Harada
    Subjects: Functional Analysis
    Abstract

    In this paper, we investigate the roles of compact sets in the space of
    tempered distributions $\mathscr{S}^{\prime}$. The key notion is "k-spaces",
    which constitute a fairly general class of topological spaces. In a k-space,
    the system of compact sets controls continuous functions and Borel measures.

  2. A simple proof for monotone CLT.

    Mon, 12/21/2009 - 16:01 — SomNambul
    Authors: Hayato Saigo
    Subjects: Probability
    Abstract

    In the case of monotone independence, the transparent understanding of the
    mechanism to validate the central limit theorem (CLT) has been lacking, in
    sharp contrast to commutative, free and Boolean cases. We have succeeded in
    clarifying it by making use of simple combinatorial structure of peakless pair
    partitions.

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